Question 484598
Let {{{x}}} = original number of apples
given:
{{{ (1/3)*x + (1/4)*x + (1/8)*x + (1/5)*x  + 10 + 1 = x }}}
{{{ x - (1/3)*x - (1/4)*x - (1/8)*x - (1/5)*x = 11 }}} 
{{{ x*( 1 - (1/3) - (1/4) - (1/8) - (1/5)) = 11 }}}
Multiply both sides by {{{120}}}
{{{ x*( 120 - 40 - 30 - 15 - 24) = 11*120 }}}
{{{ x = 1320 / 11 }}}
{{{ x = 120 }}}
There were 120 apples originally in the basket
check:
{{{ 120/3 = 40 }}}
{{{ 120/4 =  30 }}}
{{{ 120/8 = 15 }}}
{{{ 120/5 = 24 }}}
{{{ 40 + 30 + 15 + 24 + 11 = 120 }}}